The GCF & LCM Calculator is a convenient tool for working with the properties of integers. It helps you find both the Greatest Common Factor (GCF) and the Lowest Common Multiple (LCM) of a set of numbers. The GCF (also known as the Greatest Common Divisor or GCD) is the largest positive integer that divides each of the numbers without leaving a remainder. The LCM is the smallest positive integer that is a multiple of all the numbers in the set. These concepts are fundamental in number theory and have practical uses in tasks like simplifying fractions and solving problems involving repeating cycles. To use the calculator, you need to provide a set of at least two positive integers. You can enter these numbers into the text area, separating them with either a comma or a space. For example, to find the GCF and LCM of 12, 18, and 30, you would simply type '12, 18, 30' into the input box. After entering your numbers, click the 'Calculate' button. The tool will then process the entire set of numbers and display both the GCF and the LCM in the results section. For the example set of 12, 18, and 30, the GCF is 6 (as it's the largest number that divides all three), and the LCM is 180 (as it's the smallest number that all three can divide into). This makes it a quick and reliable way to perform these calculations without manual factorization.